03837nam a22005655i 4500 978-3-031-57412-2 DE-He213 20251030112046.0 cr nn 008mamaa 240517s2024 sz | s |||| 0|eng d 9783031574122 978-3-031-57412-2 10.1007/978-3-031-57412-2 doi QA273.A1-274.9 PBT bicssc PBWL bicssc MAT029000 bisacsh PBT thema PBWL thema Mladenović, Pavle. author. aut http://id.loc.gov/vocabulary/relators/aut 76962 Extreme Values In Random Sequences [electronic resource] / by Pavle Mladenović. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XII, 278 p. 3 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Springer Series in Operations Research and Financial Engineering, 2197-1773 Preface -- Regularly Varying Functions -- Basic Results of Extreme Value Theory -- Time Series and Missing Observations -- Combinatorial Problems and Extreme Values -- Bibliography -- Index. The main subject is the probabilistic extreme value theory. The purpose is to present recent results related to limiting distributions of maxima in incomplete samples from stationary sequences, and results related to extremal properties of different combinatorial configurations. The necessary contents related to regularly varying functions and basic results of extreme value theory are included in the first two chapters with examples, exercises and supplements. The motivation for consideration maxima in incomplete samples arises from the fact that real data are often incomplete. A sequence of observed random variables from a stationary sequence is also stationary only in very special cases. Hence, the results provided in the third chapter are also related to non-stationary sequences. The proof of theorems related to joint limiting distribution of maxima in complete and incomplete samples requires a non-trivial combination of combinatorics and point process theory. Chapter four provides results on the asymptotic behavior of the extremal characteristics of random permutations, the coupon collector's problem, the polynomial scheme, random trees and random forests, random partitions of finite sets, and the geometric properties of samples of random vectors. The topics presented here provide insight into the natural connections between probability theory and algebra, combinatorics, graph theory and combinatorial geometry. The contents of the book may be useful for graduate students and researchers who are interested in probabilistic extreme value theory and its applications. Probabilities. 65724 Stochastic processes. 76770 Stochastic analysis. 59375 Applied Probability. 65727 Stochastic Processes. 76770 Stochastic Analysis. 59375 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031574115 Printed edition: 9783031574139 Printed edition: 9783031574146 Springer Series in Operations Research and Financial Engineering, 2197-1773 76963 https://doi.org/10.1007/978-3-031-57412-2 ZDB-2-SMA ZDB-2-SXMS 59927 59927